Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Maurice Dodson"'
Sampling, Approximation, and Signal Analysis : Harmonic Analysis in the Spirit of J. Rowland Higgins
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a
Autor:
J. Rowland Higgins, Maurice Dodson
Publikováno v:
Sampling: Theory and Applications ISBN: 9783030362904
Sampling theory has been studied in a variety of function spaces and our purpose here is to develop the theory in a Fourier algebra setting. This aspect is not as well-known as it might be, possibly because the approximate sampling theorem, central t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6210512905aa7a9b265143fad4e3e7b3
https://doi.org/10.1007/978-3-030-36291-1_3
https://doi.org/10.1007/978-3-030-36291-1_3
Autor:
J. R. Higgins, Gerhard Schmeisser, Paul L. Butzer, Maurice Dodson, R. L. Stens, Paulo J. S. G. Ferreira
Publikováno v:
Bulletin of Mathematical Sciences. 4:481-525
The present paper deals mainly with seven fundamental theorems of mathematical analysis, numerical analysis, and number theory, namely the generalized Parseval decomposition formula (GPDF), introduced 15 years ago, the well-known approximate sampling
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9e7a1799972a854d2d6d38bea931666
https://doi.org/10.1007/s13373-014-0057-3
https://doi.org/10.1007/s13373-014-0057-3
Publikováno v:
Signal Processing. 90:1436-1455
This paper discusses the work of Herbert Raabe (1909-2004) and its significance in terms of sampling. Raabe's thesis, published in 1939, represents a milestone in the development of sampling, as pointed out in the historical works of Luke. Raabe buil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c529145c4af2b5e37b219604cc57d1f8
https://doi.org/10.1016/j.sigpro.2009.11.018
https://doi.org/10.1016/j.sigpro.2009.11.018
Publikováno v:
Journal of Fourier Analysis and Applications. 13:187-196
I. Kluvanek extended the Whittaker-Kotel’nikov-Shannon (WKS) theorem to the abstract harmonic analysis setting. To do this, the ‘band limited’ condition on the spectrum of a continuous square-integrable function (analogue signal) required for c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2642987f33549400d03714c5f22f4b9f
https://doi.org/10.1007/s00041-006-6025-x
https://doi.org/10.1007/s00041-006-6025-x
Autor:
Maurice Dodson, Simon Kristensen
Publikováno v:
International Journal of Number Theory. :431-453
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine's transference principle is dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8a82344c67914f15f116845163fbc29
https://doi.org/10.1142/s1793042106000668
https://doi.org/10.1142/s1793042106000668
Autor:
M. G. Beaty, Maurice Dodson
Publikováno v:
Journal of Fourier Analysis and Applications. 10:179-199
The classical sampling or WKS theorem on reconstructing signals from uniformly spaced samples assumes the signals to be band-limited (i.e., with spectrum in a bounded interval [-W,W]). This assumption was later weakened to a disjoint translates condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f324c6eee3f70edfc787e5336fdaa30e
https://doi.org/10.1007/s00041-004-8010-6
https://doi.org/10.1007/s00041-004-8010-6
Autor:
M. Maurice Dodson, Simon Kristensen
Publikováno v:
Proceedings of Symposia in Pure Mathematics. :305-347
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59673f394d62f90d9645b71d45daa336
https://doi.org/10.1090/pspum/072.1/2112110
https://doi.org/10.1090/pspum/072.1/2112110
Autor:
Maurice Dodson
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 14:425-437
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c51e62245395551866d4f0542d8d3c9b
https://doi.org/10.5802/jtnb.367
https://doi.org/10.5802/jtnb.367
Autor:
Maurice Dodson, H. Dickinson
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 130:515-522
The functional relations between the coordinates of points on a manifold make the study of Diophantine approximation on manifolds much harder than the classical theory in which the variables are independent. Nevertheless there has been considerable p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e096bc19dfa936b48c5ddaf31869d63f
https://doi.org/10.1017/s0305004101004984
https://doi.org/10.1017/s0305004101004984